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Finding the Fourth Proportional to 10,287, 14,199.30 and 6,561

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Solution

The fourth proportional to 10,287, 14,199.30 and 6,561 is: 9,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 14,199.30 = 6,561 : x
  2. Step 2: Convert to fraction form
    10,287/14,199.30 = 6,561/x
  3. Step 3: Cross multiply
    10,287x = 14,199.30 × 6,561
  4. Step 4: Simplify right side
    10,287x = 93,161,607.30
  5. Step 5: Solve for x
    x = 93,161,607.30/10,287
  6. Step 6: Final answer
    x = 9,056.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.